Phase synchronization of chaotic oscillations in terms of periodic orbits

被引：110

作者：

Pikovsky, A ^{[1
]}

Zaks, M ^{[1
]}

Rosenblum, M ^{[1
]}

Osipov, G ^{[1
]}

Kurths, J ^{[1
]}

机构：

[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany

来源：

CHAOS | 1997年 / 7卷 / 04期

关键词：

D O I：

10.1063/1.166265

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon. It allows to describe quantitatively the intermittency at the transition to phase synchronization. (C) 1997 American Institute of Physics.

引用

页码：680 / 687

页数：8

共 50 条

[1] SYNCHRONIZATION OF CHAOTIC ORBITS - THE INFLUENCE OF UNSTABLE PERIODIC-ORBITS
GUPTE, N
AMRITKAR, RE
PHYSICAL REVIEW E, 1993, 48 (03) : R1620 - R1623
[2] Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis
A. V. Makarenko
Technical Physics, 2016, 61 : 265 - 273
[3] Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis
Makarenko, A. V.
TECHNICAL PHYSICS, 2016, 61 (02) : 265 - 273
[4] Role of unstable periodic orbits in phase and lag synchronization between coupled chaotic oscillators
Pazó, D
Zaks, MA
Kurths, J
CHAOS, 2003, 13 (01) : 309 - 318
[5] Phase synchronization of chaotic intermittent oscillations
Ivanchenko, MV
Osipov, GV
Shalf-eev, VD
Kurths, J
PHYSICAL REVIEW LETTERS, 2004, 92 (13) : 134101 - 1
[6] Erratum to: “Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis”
A. V. Makarenko
Technical Physics, 2017, 62 : 660 - 660
[7] Determination of chaotic dynamical correlations in terms of unstable periodic orbits
Kobayashi, Miki U.
Fujisaka, Hirokazu
PROGRESS OF THEORETICAL PHYSICS, 2006, 115 (04): : 701 - 715
[8] RESONANCES IN THE CHAOTIC REGIME - INTERPRETATION IN TERMS OF PERIODIC-ORBITS
MARSTON, CC
JOURNAL OF CHEMICAL PHYSICS, 1995, 103 (19): : 8456 - 8467
[9] QUANTUM EIGENFUNCTIONS IN TERMS OF PERIODIC-ORBITS OF CHAOTIC SYSTEMS
AGAM, O
FISHMAN, S
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (09): : 2113 - 2137
[10] Detecting unstable periodic orbits in chaotic time series using synchronization
Olyaei, Ali Azimi
Wu, Christine
Kinsner, Witold
PHYSICAL REVIEW E, 2017, 96 (01)

← 1 2 3 4 5 →